If the Circumference is 6 ft. What is the radius?

We are given the circumference of a circle. We are asked to find the radius. We will use the formula Circumference = 2pi(radius) => C=2pi(r) => Substitute 3.14 for pi, and 6 for C => 6 = 2(3.14)r => 6 = 6.28r => .955 =r => The radius is approximately .96 ft.

What we know: <ul><li>C= `2pir` </li> <li>C=6 ft</li> <li>`pi=3.14`</li> </ul>Combine first 2 equations. <ul><li> `6=2pir` </li> </ul>Divide `2pi` on both sides. <ul><li> `((6)/(2pi))=r` </li> </ul>Simplify <ul><li>r=`3/pi ft` </li> </ul>

6=2`pi r` `3/pi= r` ` ` ` `

First, divide the given circumference by 3.14 to get the diameter. 6/3.14=1.91 Second, Divide the answer by 2 to get the radius. 1.91/2 = .955

To find the radius of a circle using the given circumference we use the formula for finding Circumference. C=2pi(r) Using 3.14 for pi and 6 for the Circumference, we solve for r (radius). 6=2(3.14)r (multiply 2 times pi) 6=6.28r (divide each side of the equal sign by 6.28) r≈.955 (the result is that r is approximately .955) Rounding to the nearest hundredths place the radius is about .96 ft.

Homework Help > Math

If the Circumference is 6 ft. What is the radius?

Expert Answers

academicsfirst

| Certified Educator

We are given the circumference of a circle. We are asked to find the radius.

We will use the formula Circumference = 2pi(radius)

=> C=2pi(r)

=> Substitute 3.14 for pi, and 6 for C

=> 6 = 2(3.14)r

=> 6 = 6.28r

=> .955 =r

=> The radius is approximately .96 ft.

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Student Comments

lucario | Student

0.95

taangerine | Student

What we know:

C= `2pir`
C=6 ft
`pi=3.14`

Combine first 2 equations.

`6=2pir`

Divide `2pi` on both sides.

`((6)/(2pi))=r`

Simplify

r=`3/pi ft`

nisarg | Student

6=2`pi r`

`3/pi= r`

` `

michaelcoffey | Student

First, divide the given circumference by 3.14 to get the diameter.

6/3.14=1.91

Second, Divide the answer by 2 to get the radius.

1.91/2 = .955

sweetteach | Student

To find the radius of a circle using the given circumference we use the formula for finding Circumference.

C=2pi(r)

Using 3.14 for pi and 6 for the Circumference, we solve for r (radius).

6=2(3.14)r (multiply 2 times pi)

6=6.28r (divide each side of the equal sign by 6.28)

r≈.955 (the result is that r is approximately .955)

Rounding to the nearest hundredths place the radius is about .96 ft.